48. Rotate image

https://leetcode.com/problems/rotate-image/

You are given an n x n 2D matrix representing an image, rotate the image by 90 degrees (clockwise). You have to rotate the image in-place, which means you have to modify the input 2D matrix directly. DO NOT allocate another 2D matrix and do the rotation.

Example 1: Input: matrix = [[1,2,3],[4,5,6],[7,8,9]] Output: [[7,4,1],[8,5,2],[9,6,3]] Example 2: Input: matrix = [[5,1,9,11],[2,4,8,10],[13,3,6,7],[15,14,12,16]] Output: [[15,13,2,5],[14,3,4,1],[12,6,8,9],[16,7,10,11]]

Constraints:

n == matrix.length == matrix[i].length 	
1 <= n <= 20 	
-1000 <= matrix[i][j] <= 1000

  • code
class Solution {
    public void rotate(int[][] matrix) {
        int n = matrix.length;
        for (int i = 0; i < (matrix.length + 1) / 2; i++){
            for(int j = 0; j < n / 2; j++){
                int temp = matrix[n - 1 - j][i];
                matrix[n - 1 - j][i] = matrix[n - 1 - i][n - j - 1];
                matrix[n - 1 - i][n - j - 1] = matrix[j][n - 1 -i];
                matrix[j][n - 1 - i] = matrix[i][j];
                matrix[i][j] = temp;
            }
        }
    }
}
  • code
class Solution:
    def rotate(self, matrix: List[List[int]]) -> None:
        length = len(matrix) - 1
        for x in range(len(matrix) // 2):
            for y in range(x, length - x):
                matrix[x][y], matrix[y][~x], matrix[~x][~y], matrix[~y][x] = matrix[~y][x], matrix[x][y], matrix[y][~x], matrix[~x][~y] 
        return matrix

  • code transpose then 1,4 col exchange, 2,3 col exchange
class Solution:
    def rotate(self, matrix: List[List[int]]) -> None:
        trans = [[row[i] for row in matrix] for i in range(len(matrix[0]))]
        
        for i in trans:
            for j in range(int(len(trans[0])/2)):
                i[j], i[len(trans[0])-1-j] = i[len(trans[0])-1-j], i[j]
                
        matrix[:] = trans